TSTP Solution File: SET654+3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SET654+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:55:11 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  105 (  39   ~;  36   |;   8   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   53 (   3 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p3,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ! [X4] :
                  ( ilf_type(X4,relation_type(X3,X1))
                 => ( subset(range_of(X4),X2)
                   => ilf_type(X4,relation_type(X3,X2)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).

fof(p22,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).

fof(prove_relset_1_16,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ! [X4] :
                  ( ilf_type(X4,relation_type(X3,X1))
                 => ( subset(X1,X2)
                   => ilf_type(X4,relation_type(X3,X2)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_16) ).

fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( ( subset(X1,X2)
                  & subset(X2,X3) )
               => subset(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).

fof(p2,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ( subset(domain_of(X3),X1)
                & subset(range_of(X3),X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(c_0_5,plain,
    ! [X11,X12,X13,X14] :
      ( ~ ilf_type(X11,set_type)
      | ~ ilf_type(X12,set_type)
      | ~ ilf_type(X13,set_type)
      | ~ ilf_type(X14,relation_type(X13,X11))
      | ~ subset(range_of(X14),X12)
      | ilf_type(X14,relation_type(X13,X12)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])]) ).

fof(c_0_6,plain,
    ! [X60] : ilf_type(X60,set_type),
    inference(variable_rename,[status(thm)],[p22]) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,set_type)
           => ! [X3] :
                ( ilf_type(X3,set_type)
               => ! [X4] :
                    ( ilf_type(X4,relation_type(X3,X1))
                   => ( subset(X1,X2)
                     => ilf_type(X4,relation_type(X3,X2)) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_16]) ).

fof(c_0_8,plain,
    ! [X5,X6,X7] :
      ( ~ ilf_type(X5,set_type)
      | ~ ilf_type(X6,set_type)
      | ~ ilf_type(X7,set_type)
      | ~ subset(X5,X6)
      | ~ subset(X6,X7)
      | subset(X5,X7) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])]) ).

fof(c_0_9,plain,
    ! [X8,X9,X10] :
      ( ( subset(domain_of(X10),X8)
        | ~ ilf_type(X10,relation_type(X8,X9))
        | ~ ilf_type(X9,set_type)
        | ~ ilf_type(X8,set_type) )
      & ( subset(range_of(X10),X9)
        | ~ ilf_type(X10,relation_type(X8,X9))
        | ~ ilf_type(X9,set_type)
        | ~ ilf_type(X8,set_type) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])])]) ).

cnf(c_0_10,plain,
    ( ilf_type(X4,relation_type(X3,X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X4,relation_type(X3,X1))
    | ~ subset(range_of(X4),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_12,negated_conjecture,
    ( ilf_type(esk10_0,set_type)
    & ilf_type(esk11_0,set_type)
    & ilf_type(esk12_0,set_type)
    & ilf_type(esk13_0,relation_type(esk12_0,esk10_0))
    & subset(esk10_0,esk11_0)
    & ~ ilf_type(esk13_0,relation_type(esk12_0,esk11_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).

cnf(c_0_13,plain,
    ( subset(X1,X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2)
    | ~ subset(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( subset(range_of(X1),X2)
    | ~ ilf_type(X1,relation_type(X3,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( ilf_type(X1,relation_type(X2,X3))
    | ~ subset(range_of(X1),X3)
    | ~ ilf_type(X1,relation_type(X2,X4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11])]) ).

cnf(c_0_16,negated_conjecture,
    ilf_type(esk13_0,relation_type(esk12_0,esk10_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11]),c_0_11]),c_0_11])]) ).

cnf(c_0_18,negated_conjecture,
    subset(esk10_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( subset(range_of(X1),X2)
    | ~ ilf_type(X1,relation_type(X3,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11]),c_0_11])]) ).

cnf(c_0_20,negated_conjecture,
    ( ilf_type(esk13_0,relation_type(esk12_0,X1))
    | ~ subset(range_of(esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ( subset(X1,esk11_0)
    | ~ subset(X1,esk10_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    subset(range_of(esk13_0),esk10_0),
    inference(spm,[status(thm)],[c_0_19,c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ~ ilf_type(esk13_0,relation_type(esk12_0,esk11_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SET654+3 : TPTP v8.2.0. Released v2.2.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit   : 300
% 0.10/0.28  % WCLimit    : 300
% 0.10/0.28  % DateTime   : Mon May 20 11:07:07 EDT 2024
% 0.10/0.28  % CPUTime    : 
% 0.13/0.37  Running first-order theorem proving
% 0.13/0.37  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  # Version: 3.1.0
% 0.13/0.38  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.38  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.38  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.38  # Starting sh5l with 300s (1) cores
% 0.13/0.38  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21317 completed with status 0
% 0.13/0.38  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.38  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.13/0.38  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.38  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 0.13/0.38  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.38  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.13/0.38  # Starting new_bool_3 with 136s (1) cores
% 0.13/0.38  # Starting new_bool_1 with 136s (1) cores
% 0.13/0.38  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 21323 completed with status 0
% 0.13/0.38  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.13/0.38  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.38  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.38  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.13/0.38  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.38  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 0.13/0.38  # Preprocessing time       : 0.001 s
% 0.13/0.38  # Presaturation interreduction done
% 0.13/0.38  
% 0.13/0.38  # Proof found!
% 0.13/0.38  # SZS status Theorem
% 0.13/0.38  # SZS output start CNFRefutation
% See solution above
% 0.13/0.38  # Parsed axioms                        : 23
% 0.13/0.38  # Removed by relevancy pruning/SinE    : 0
% 0.13/0.38  # Initial clauses                      : 46
% 0.13/0.38  # Removed in clause preprocessing      : 0
% 0.13/0.38  # Initial clauses in saturation        : 46
% 0.13/0.38  # Processed clauses                    : 105
% 0.13/0.38  # ...of these trivial                  : 11
% 0.13/0.38  # ...subsumed                          : 5
% 0.13/0.38  # ...remaining for further processing  : 89
% 0.13/0.38  # Other redundant clauses eliminated   : 1
% 0.13/0.38  # Clauses deleted for lack of memory   : 0
% 0.13/0.38  # Backward-subsumed                    : 0
% 0.13/0.38  # Backward-rewritten                   : 3
% 0.13/0.38  # Generated clauses                    : 92
% 0.13/0.38  # ...of the previous two non-redundant : 75
% 0.13/0.38  # ...aggressively subsumed             : 0
% 0.13/0.38  # Contextual simplify-reflections      : 1
% 0.13/0.38  # Paramodulations                      : 91
% 0.13/0.38  # Factorizations                       : 0
% 0.13/0.38  # NegExts                              : 0
% 0.13/0.38  # Equation resolutions                 : 1
% 0.13/0.38  # Disequality decompositions           : 0
% 0.13/0.38  # Total rewrite steps                  : 86
% 0.13/0.38  # ...of those cached                   : 67
% 0.13/0.38  # Propositional unsat checks           : 0
% 0.13/0.38  #    Propositional check models        : 0
% 0.13/0.38  #    Propositional check unsatisfiable : 0
% 0.13/0.38  #    Propositional clauses             : 0
% 0.13/0.38  #    Propositional clauses after purity: 0
% 0.13/0.38  #    Propositional unsat core size     : 0
% 0.13/0.38  #    Propositional preprocessing time  : 0.000
% 0.13/0.38  #    Propositional encoding time       : 0.000
% 0.13/0.38  #    Propositional solver time         : 0.000
% 0.13/0.38  #    Success case prop preproc time    : 0.000
% 0.13/0.38  #    Success case prop encoding time   : 0.000
% 0.13/0.38  #    Success case prop solver time     : 0.000
% 0.13/0.38  # Current number of processed clauses  : 54
% 0.13/0.38  #    Positive orientable unit clauses  : 14
% 0.13/0.38  #    Positive unorientable unit clauses: 0
% 0.13/0.38  #    Negative unit clauses             : 4
% 0.13/0.38  #    Non-unit-clauses                  : 36
% 0.13/0.38  # Current number of unprocessed clauses: 48
% 0.13/0.38  # ...number of literals in the above   : 100
% 0.13/0.38  # Current number of archived formulas  : 0
% 0.13/0.38  # Current number of archived clauses   : 35
% 0.13/0.38  # Clause-clause subsumption calls (NU) : 156
% 0.13/0.38  # Rec. Clause-clause subsumption calls : 136
% 0.13/0.38  # Non-unit clause-clause subsumptions  : 4
% 0.13/0.38  # Unit Clause-clause subsumption calls : 22
% 0.13/0.38  # Rewrite failures with RHS unbound    : 0
% 0.13/0.38  # BW rewrite match attempts            : 7
% 0.13/0.38  # BW rewrite match successes           : 3
% 0.13/0.38  # Condensation attempts                : 0
% 0.13/0.38  # Condensation successes               : 0
% 0.13/0.38  # Termbank termtop insertions          : 5220
% 0.13/0.38  # Search garbage collected termcells   : 975
% 0.13/0.38  
% 0.13/0.38  # -------------------------------------------------
% 0.13/0.38  # User time                : 0.008 s
% 0.13/0.38  # System time              : 0.002 s
% 0.13/0.38  # Total time               : 0.009 s
% 0.13/0.38  # Maximum resident set size: 1884 pages
% 0.13/0.38  
% 0.13/0.38  # -------------------------------------------------
% 0.13/0.38  # User time                : 0.026 s
% 0.13/0.38  # System time              : 0.005 s
% 0.13/0.38  # Total time               : 0.031 s
% 0.13/0.38  # Maximum resident set size: 1748 pages
% 0.13/0.38  % E---3.1 exiting
% 0.13/0.39  % E exiting
%------------------------------------------------------------------------------